328117024225 has 81 divisors (see below), whose sum is σ = 453362080843. Its totient is φ = 235504867840.

The previous prime is 328117024219. The next prime is 328117024237. The reversal of 328117024225 is 522420711823.

The square root of 328117024225 is 572815.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2130837921 + 325986186304 = 46161^2 + 570952^2 .

It is not a de Polignac number, because 328117024225 - 2⁷ = 328117024097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1119853179 + ... + 1119853471.

Almost surely, 2^328117024225 is an apocalyptic number.

328117024225 is the 572815-th square number.

328117024225 is the 286408-th centered octagonal number.

It is an amenable number.

328117024225 is a deficient number, since it is larger than the sum of its proper divisors (125245056618).

328117024225 is an equidigital number, since it uses as much as digits as its factorization.

328117024225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 328117024225 in words is "three hundred twenty-eight billion, one hundred seventeen million, twenty-four thousand, two hundred twenty-five".